中文摘要：

在讨论联合压缩感知稀疏重建的基础上，针对地震资料特点，利用小波分析方法，进行联合稀疏公共部分和特有部分分解建模.为了挖掘地震资料有效地质信息，考虑到分布式压缩感知算法和应用效果实际实现困难，提出了多道地震资料压缩重建方法.就研究提出的新方法、新理念，围绕决定稀疏重建质量的稀疏度、稀疏基等关键问题进行了深入研究，结合纵横向地震信号特点分析，分别研究纵横稀疏度的选取方法及指导准则.同时对稀疏基的类型和特性在揭示地质信息能力方面进行了分析讨论.集各种研究问题于一体，形成了多道联合压缩感知地震资料重建的新方法.通过实际资料测试，比较分析各类计算结果，得到了新的认识和结论，实际资料处理效果明显.

英文摘要：

On the basis of discussing the sparse reconstruction of the combined compressed sensing and the characteristics of the seismic signals, this paper studies decomposition modeling using wavelet analysis and combining sparse public part and special part. Because the algorithms of distributed compressed sensing and their applications are difficult to implement in practice, this paper proposes a multitrace seismic data compression reconstruction method. The key problems of the quality of sparse reconstruction, such as sparse degree, sparse matrix, are studied. Combining with the characteristics of vertical and horizontal seismic signal, we studied the method of choosing sparse degree and guidelines. We also analyze and discuss the types and characteristics of sparse matrix in terms of the ability of revealing the geological information. Finally, we form the multitrace joint compressed sensing new method for seismic data reconstruction. By processing with this method and the comparison of calculation results, new ideas and conclusion are obtained and actual data processing is effective.